OK, not so much suggestions, but info for your considerations on the joys of the area... Obviously things are very weather dependent, the most recent forecast I've seen said sun and showers, which is April in a nutshell!
Moving west to east along the coast, it's possible to tour the whole coast in a day if you keep moving, but as once was said; "what is this life if full of care, we have no time to stand and stare"...
Just to the west of Faversham is Harty Ferry... old wooden jetty posts disappear into the water and the wreck of an old barge half submerged in the mud... low tide on Friday is around 6.40pm.
Faversham itself has the Shepherd Neame Brewery (I think tours need to be booked in advance, but some of the buildings might be quite photogenic), and the creek, where you may see a Thames Barge or two.
Whitstable has a bit of a bohemian atmosphere. A small working harbour which includes the "arty" harbour village. Lots of seafood available, including the famous "Whitstable Native" oyster. A busy foreshore by the sailing club and oyster trestles visible at low tide.
Herne Bay has a Victorian style promenade, pier, and colourful beachhuts. the sea front from Hampton to Reculver is around 4 1/2 miles and is part of the Saxon Shoreway (made famous by Fay Godwin). Disclaimer - I've lived here for years, so all I see is beige...
Margate. Home of the Turner Contemporary Gallery, which is the obvious destination for "culture vultures" and rain dodgers. Current main show is something to do with TS Eliot's "The Wasteland", which I've not yet seen so can't offer any comment. The Gormly work is still there, and low tide is around 5.20pm, so he should be visible by about "half-tide" (2.30ish). Margate old town is pleasant enough, and there's "Dreamland" for fans of vintage and retro fairground type stuff (entrance fee applies).
Lots of bays either side of Margate's main sands... To the east of the town, Botany Bay and Kingsgate Bay are the pick of the bunch (in my opinion), with chalk cliffs, caves, arches, platforms and stacks.
Broadstairs is a compact resort town with a strong connection to Dickens (Bleak House). Hosts a brilliant Blues Festival in February, so you should have been here then..!
Ramsgate has a good sized harbour / marina which can be quite visually entertaining, if a little busy. Not much to be said for the town, but there are tours of wartime tunnel shelters as a dry option if required (again, not experienced personally, so cannot offer a critique).
If you fancy something more inland, you'll mostly see farmland, but there's a number of little villages south of Canterbury that are pleasant. Chilham is one that springs to mind. All half timbers and quaint.
Not quite the Grand Canyon, but the Wye and Crundale Downs is quietly spectacular... Glacial valley in chalk downland, good for orchid spotting.
So... no single location that'll blow yer socks off, but a range of options to consider.
Hope something here is of use.
Nigel, I'll PM you my mobile number. I hope to be able to get out of work sometime between 2.00 and 3.00, so if you could update me on movements I'll try to track you down.